Answer:
first we get y on one side by itself.
4x+5y=5
we'll move x to the other side.
4x-4x+5y=5-4x
simplify.
5y=5-4x
now we get rid of the coefficient on y.
5y/5=(5-4x)/5
simplify.
y=5/5-4x/5
y=1- [tex]\frac{4}{5}x[/tex]
The answer is [tex]y=1-\frac{4}{5}x[/tex]